Consider the polar curves Cı :r = 3 sin 20 and C2 : r = 3 cos 0, and let R be the shaded region as shown below. C1 C2 R-

Q: 1- P is equal : a) 1 b) 120 c) 5 2- C is equal : a) 455 b) 544 c) 4542.

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Q: Given: re + In(x - y) xe*? Find dy/dx. 2ry(z=y)+z* 1+(z=v}(2»² +1)e| dy dr 2r(z-y)-z1z…

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Q: Over the past fifty years the carbon dioxide level in the atmosphere has increased. Carbon dioxide…

A: This question is related to Integration, we will solve it using given information.

Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

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Q: Let й -, й- where A and Bare some constants. Given that ü+ 50 = find the value of the product A.B.…

A: A. B=48

Q: Find the Area bounded by: x = -y2 and x =y-2 %3D

A: This question can be solved using the concept of area bounded by two curves.

Q: Find the antiderivative of the function 4x3 - 2x2 +x - 5 dx

A: This question is based on indefinite integral.

Q: 1. / 2dx 3D 0 + С %3D С 2. Sx²dx = 2x + C %3D 3. S 5x*dx = x5 1 4. Sdx = + С 2(х2-5) x2-5 5. ſ tan x…

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Q: Vx-5 1) Evaluate lim 10. x+25 X-25 Show every step.

A: We can find the limit as below

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

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Q: 2. Describe in word all transformations involved. y = -3sin(180° – 4x) + 5

A: Given problem:- Describe in word all transformations involved.   y = - 3sin(180°-4x ) + 5

Q: 9-7 (d) xydzdydr

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Use the mean value theorem to prove the inequality for all a and b: Isina – sinb| < |a - b|.

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Q: g Ca) : -8) (uring logarithmic differentiation) 2 +4 11

A: We can find the derivative using logarithmic differentiation as below.

Q: Evaluate the integral. (x3 – 6x)dx -2

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Q: Q2// Solve the following differential equation: e²y dx + 2(xe²y – y)dy = 0

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Q: 5- If Die is rolled find the probability that never appear 2 a) b): d) 3

A: Answer is given

Q: d 31. Evaluate et ht dt 1 ((1+ Int) dx 1 A) x(1 + Inx) C) x+1 xe* B) 1+x D)

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Q: Given the equation x In(y) dz = z Arctan(3y). Assuming z as a function of variables x and y, find ar

A: To partially differentiate the function z with respect to x.

Q: Find two positive numbers satisfying the given requirements. The product is 172 and the sum is a…

A: We find two positive number that product is 172 and sum is minimum.     Here i attached the solution…

Q: Determine the absolute maximum and minimum values of the function f(x) = x'e* on the interval -1<x<…

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Q: x³ +2x2-3x 2) Evaluate lim -6-1. x² +4x+3 X-3 Show every step.

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Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

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Q: 1 Calculate the difference quotient for f(x) = at a = 4. V2x + 5 (Express numbers in exact form. Use…

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Q: Let u =, v = where A and B are some constants. Given that ú + 90 = find the value of the product…

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Q: Find fr(r, y) and fy(x, y) given f(r, y) = tan r - cos(r² – y²).

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Q: Derivative of f(t) = 8^t[(2t+1)^2+t] using Chain Rule

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Q: Question 2 Find the volume of the solid generated when the region enclosed by the given curves is…

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Q: Find the x-value maximizing the shaded area on the interval 0 < x < 18. One vertex is on the graph…

A: First  I have found the Area of the shaded region region then find the critical point and then find…

Q: 1. Find the derivative of the following: (Simplify your final answers.) sech h. j(r) = e (Using…

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Q: 639 * The degree of the polynomial graphed above is Select an answer v Select an answer

A: Degree is the largest exponent of variable.

Q: What is the derivative of f (x) = 3x³+2x using the limit definition (please use delta x if possible)

A: A detailed solution is given below

Q: 4–x? c1-a²-y² x dz dy dx = -7+x?+y?

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Q: Find the equation of the tangent line to the function y = xsin x when x = 6.

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: We have to find X intercept, relative minimum, relative maximum, point of infection and the equation…

Q: 5- If Die is rolled find the probability that never appear 2 a) b): d) 3

A: The objective of the question is determine the probability.

Q: 8. 8 If , f(x-c)dx = 5 where c is a constant, then f (x)dx= -c

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Q: X-1 y-3 Given that L: k and M: 4x + ky – 3 = 0 then find the value(s) 16 of k such that the two…

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Q: per ale hey sepalating 4. A line passes thru (5, 11) and cuts a right triangle with the coordinate…

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Q: Question 6 Use cylindrical shells to find the volume of the solid generated wher the region enclosed…

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Q: 5- If Die is rolled find the probability that never appear 2 a) b): d) 3

A: A Die is rolled, the probablity that never appear 2

Q: Consider the parametric curve defined by x = t – 7, y = t* + 13t. What is %3D - the slope of the…

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Q: -1

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Q: Use the polygon law of addition to draw the resultant vector ( å + b) + ở for the following yectors.

A: The given vectors are added

Q: A teacher has prepared 20 mathematic and 30 geometric and 25 physics questions for a test he can…

A: This question can be solved using the concept of combination.

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 7 dy

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Q: QI// Find the Area bounded by: x = -y2 and x =y-2

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Q: Determine the value of 7A+5B if 19x2 + 43x + 14 Cr + B (x+1)2 A (x – 1)(x +1)? Answer:

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Q: A conical surface is defined as 0 = 30°,0 < y< 2n,0<r< 2, the lateral surface area is what?

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Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

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